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Finding the Third Proportional to 760,890 and 1,138,955

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Solution

The third proportional to 760,890 and 1,138,955 is: 1,704,869.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,890 : 1,138,955 = 1,138,955 : x
  2. Step 2: Convert to fraction form
    760,890/1,138,955 = 1,138,955/x
  3. Step 3: Cross multiply
    760,890x = 1,138,955 × 1,138,955
  4. Step 4: Simplify right side
    760,890x = 1,297,218,492,025
  5. Step 5: Solve for x
    x = 1,297,218,492,025/760,890
  6. Step 6: Final answer
    x = 1,704,869.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.